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Finding the Fourth Proportional to 5.69, 7.89 and 5.64

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Solution

The fourth proportional to 5.69, 7.89 and 5.64 is: 7.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.69 : 7.89 = 5.64 : x
  2. Step 2: Convert to fraction form
    5.69/7.89 = 5.64/x
  3. Step 3: Cross multiply
    5.69x = 7.89 × 5.64
  4. Step 4: Simplify right side
    5.69x = 44.50
  5. Step 5: Solve for x
    x = 44.50/5.69
  6. Step 6: Final answer
    x = 7.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.